The function fxln10x is represented as a power series Find t

The function f(x)=ln(10?x) is represented as a power series
Find the first few coefficients in the power series.
c0=
c1=
c2=
c3=
c4=
Find the radius of convergence R of the series.
R=

Solution

first few terms would then be: frac{x}{10}+C frac{x^{2}}{200}+C frac{x^{3}}{3000}+C frac{x^{4}}{40000}+C frac{x^{5}}{500000}+C See the respective coefficients
The function f(x)=ln(10?x) is represented as a power series Find the first few coefficients in the power series. c0= c1= c2= c3= c4= Find the radius of converge

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